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27746103137 is a prime number
BaseRepresentation
bin11001110101110010…
…111110111101100001
32122121200012002010112
4121311302332331201
5423311000300022
620425115141105
72001400661654
oct316562767541
978550162115
1027746103137
1110848a51a55
125464144795
13280244270c
1414b2d7b89b
15ac5d128e2
hex675cbef61

27746103137 has 2 divisors, whose sum is σ = 27746103138. Its totient is φ = 27746103136.

The previous prime is 27746103113. The next prime is 27746103139. The reversal of 27746103137 is 73130164772.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25869827281 + 1876275856 = 160841^2 + 43316^2 .

It is a cyclic number.

It is not a de Polignac number, because 27746103137 - 222 = 27741908833 is a prime.

Together with 27746103139, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 27746103094 and 27746103103.

It is not a weakly prime, because it can be changed into another prime (27746103139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13873051568 + 13873051569.

It is an arithmetic number, because the mean of its divisors is an integer number (13873051569).

Almost surely, 227746103137 is an apocalyptic number.

It is an amenable number.

27746103137 is a deficient number, since it is larger than the sum of its proper divisors (1).

27746103137 is an equidigital number, since it uses as much as digits as its factorization.

27746103137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 148176, while the sum is 41.

The spelling of 27746103137 in words is "twenty-seven billion, seven hundred forty-six million, one hundred three thousand, one hundred thirty-seven".